Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 1

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 1

Answers (1)

best_answer

Answer:

\sin x+\cos x+c

Hint:

Make the function in complete square form and integrate it.

Solution:

Let

\begin{aligned} &I=\int \sqrt{1-\sin 2 x} d x \\ &\Rightarrow I=\int \sqrt{\cos ^{2} x+\sin ^{2} x-2 \sin x \cos x} d x \quad\left[\cos ^{2} x+\sin ^{2} x=1, \quad \sin 2 x=2 \sin x \cos x\right] \\ &\Rightarrow I=\int \sqrt{(\cos x-\sin x)^{2}} d x \end{aligned}
\begin{aligned} &I=\int(\cos x-\sin x) d x \\ &I=\int \cos x d x-\int \sin x d x \\ &I=\sin x+\cos x+c \end{aligned}

 

 

 

 

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2027 LIVE: Class 10, 12 timetable soon; official website, exam mode, guidelines
anam-khan

Board Exams 2027: CBSE 10th, 12th sample papers, marking scheme out at cbseacademic.nic.in, direct link
anam-khan

CBSE Board Exam Dates 2027 LIVE: CBSE Class 10, 12 sample papers out, time table soon

Latest Question